On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N

A.M. Micheletti; Jacopo Bellazzini; Marco G. Ghimenti; Vieri Benci

arxiv: 1012.5662 · v1 · pith:CI2TUN2Xnew · submitted 2010-12-27 · 🧮 math.AP

On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N

Jacopo Bellazzini , Vieri Benci , Marco G. Ghimenti , A.M. Micheletti This is my paper

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keywords eigenvalueexistencefundamentalproblemappliedconditionsellipticequation

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We study an eigenvalue problem for functions in R^N and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of the orbital stability of the standing waves of the nonlinear Schroedinger equation.

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On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N

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